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Perpendicular from Right Angle to Hypotenuse Divides the Triangle into Two Similar Triangles

If two right-...

Question

If two right-angled triangles ABC and PRQ are such that ∠A = 20°, ∠Q = 20°, and AC = QP, then which of the following is true?

ΔABC ≌ ΔPRQ

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ΔABC ≌ ΔRQP

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ΔABC ≌ ΔPQR

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ΔABC ≌ ΔQRP

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Solution

The correct option is D
ΔABC ≌ ΔQRP

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Similar questions

Fill in the blanks in the following so that each of the following statements is true.

(i) Sides opposite to equal angles of a triangle are ___

(ii) Angle opposite to equal sides of a triangle are ___

(iii) In an equilateral triangle all angles are ___

(iv) In a $Δ A B C i f ∠ A = ∠ C, t h e n A B =$ ___

(v) If altitudes CE and BF of a triangle ABC are equal, then AB = ___

(vi) In an isosceles, triangle ABC with AB = AC, if BD and CE are its altitudes then BD is ___ CE.

(vii) In right triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then $Δ A B C ≅ Δ$ ___

△ A B C

A

A B = A C

∠ C

A B

D

A C + A D = B C

△ A B C

A . Q

R

B C

B C

P

Q P ∥ A B

R P ∥ A C

∠ P

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